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Finding the Fourth Proportional to 541.97, 812.69 and 176.72

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Solution

The fourth proportional to 541.97, 812.69 and 176.72 is: 264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.97 : 812.69 = 176.72 : x
  2. Step 2: Convert to fraction form
    541.97/812.69 = 176.72/x
  3. Step 3: Cross multiply
    541.97x = 812.69 × 176.72
  4. Step 4: Simplify right side
    541.97x = 143,613.63
  5. Step 5: Solve for x
    x = 143,613.63/541.97
  6. Step 6: Final answer
    x = 264.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.